Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations

DOI10.1016/j.na.2006.02.030zbMath1117.34042OpenAlexW1966071698MaRDI QIDQ876897

Jin Liang, Ti-Jun Xiao, Gaston Mandata N'Guérékata, Lahcen Maniar

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.030

zbMATH Keywords

Favard classextrapolation spacesemilinear evolution equations\(C^{(n)}\)-almost periodic functionultra-weak solutions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations, \(C^{(n)}\)-almost periodic and \(C^{(n)}\)-almost automorphic solutions for a class of partial functional differential equations with finite delay, Unnamed Item, Massera-type theorem for the existence of \(C^{(n)}\)-almost-periodic solutions for partial functional differential equations with infinite delay, Pseudo almost periodic solutions to parabolic boundary value inverse problems, Existence results for some higher-order evolution equations with operator coefficients, Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces, Cⁿ-almost automorphic solutions for partial neutral functional differential equations, 𝛼∼𝑙 relatively dense sets and weighted pseudo almost periodic phenomenon, Almost automorphic solutions of nonautonomous evolution equations, On generalized $C^{(n)}$-almost periodic solutions of abstract Volterra integro-differential equations, Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales, \(C^n\)-almost periodic functions and an application to a Lasota-Wazewska model on time scales

Cites Work

• Almost periodicity in Fréchet spaces
• A Massera type theorem for almost automorphic solutions of differential equations
• On some classes of almost periodic functions in abstract spaces
• Existence and asymptotic behavior of solutions of semilinear Cauchy problems with non dense domain via extrapolation spaces
• Équations différentielles à coefficients opérateurs non bornés
• Almost automorphic solutions for semilinear boundary differential equations
• Topics in Almost Automorphy
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